Learning Rate Adaptation for Differentially Private Learning

Antti Koskela, Antti Honkela
; Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, PMLR 108:2465-2475, 2020.

Abstract

Differentially private learning has recently emerged as the leading approach for privacy-preserving machine learning. Differential privacy can complicate learning procedures because each access to the data needs to be carefully designed and carries a privacy cost. For example, standard parameter tuning with a validation set cannot be easily applied. In this paper, we propose a differentially private algorithm for the adaptation of the learning rate for differentially private stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation in numerical analysis: to get an estimate for the error against the gradient flow we compare the result obtained by one full step and two half-steps. We prove the privacy of the method using the moments accountant mechanism. This allows us to compute tight privacy bounds. Empirically we show that our method is competitive with manually tuned commonly used optimisation methods for training deep neural networks and differentially private variational inference.

Cite this Paper


BibTeX
@InProceedings{pmlr-v108-koskela20a, title = {Learning Rate Adaptation for Differentially Private Learning}, author = {Koskela, Antti and Honkela, Antti}, pages = {2465--2475}, year = {2020}, editor = {Silvia Chiappa and Roberto Calandra}, volume = {108}, series = {Proceedings of Machine Learning Research}, address = {Online}, month = {26--28 Aug}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v108/koskela20a/koskela20a.pdf}, url = {http://proceedings.mlr.press/v108/koskela20a.html}, abstract = {Differentially private learning has recently emerged as the leading approach for privacy-preserving machine learning. Differential privacy can complicate learning procedures because each access to the data needs to be carefully designed and carries a privacy cost. For example, standard parameter tuning with a validation set cannot be easily applied. In this paper, we propose a differentially private algorithm for the adaptation of the learning rate for differentially private stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation in numerical analysis: to get an estimate for the error against the gradient flow we compare the result obtained by one full step and two half-steps. We prove the privacy of the method using the moments accountant mechanism. This allows us to compute tight privacy bounds. Empirically we show that our method is competitive with manually tuned commonly used optimisation methods for training deep neural networks and differentially private variational inference.} }
Endnote
%0 Conference Paper %T Learning Rate Adaptation for Differentially Private Learning %A Antti Koskela %A Antti Honkela %B Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D 2020 %E Silvia Chiappa %E Roberto Calandra %F pmlr-v108-koskela20a %I PMLR %J Proceedings of Machine Learning Research %P 2465--2475 %U http://proceedings.mlr.press %V 108 %W PMLR %X Differentially private learning has recently emerged as the leading approach for privacy-preserving machine learning. Differential privacy can complicate learning procedures because each access to the data needs to be carefully designed and carries a privacy cost. For example, standard parameter tuning with a validation set cannot be easily applied. In this paper, we propose a differentially private algorithm for the adaptation of the learning rate for differentially private stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation in numerical analysis: to get an estimate for the error against the gradient flow we compare the result obtained by one full step and two half-steps. We prove the privacy of the method using the moments accountant mechanism. This allows us to compute tight privacy bounds. Empirically we show that our method is competitive with manually tuned commonly used optimisation methods for training deep neural networks and differentially private variational inference.
APA
Koskela, A. & Honkela, A.. (2020). Learning Rate Adaptation for Differentially Private Learning. Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, in PMLR 108:2465-2475

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